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2000300133 = 313232578677
BaseRepresentation
bin111011100111010…
…0010100001100101
312011101220202221010
41313032202201211
513044034101013
6530253212433
7100366161546
oct16716424145
95141822833
102000300133
11937132107
12479a91119
1325b550b60
1414d9364cd
15ba9217c3
hex773a2865

2000300133 has 32 divisors (see below), whose sum is σ = 3009113856. Its totient is φ = 1172717568.

The previous prime is 2000300129. The next prime is 2000300149. The reversal of 2000300133 is 3310030002.

It is a happy number.

It is not a de Polignac number, because 2000300133 - 22 = 2000300129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000300173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226191 + ... + 234867.

It is an arithmetic number, because the mean of its divisors is an integer number (94034808).

Almost surely, 22000300133 is an apocalyptic number.

2000300133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2000300133 is a deficient number, since it is larger than the sum of its proper divisors (1008813723).

2000300133 is a wasteful number, since it uses less digits than its factorization.

2000300133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2000300133 is about 44724.7150130663. The cubic root of 2000300133 is about 1259.9840707233.

Adding to 2000300133 its reverse (3310030002), we get a palindrome (5310330135).

The spelling of 2000300133 in words is "two billion, three hundred thousand, one hundred thirty-three".

Divisors: 1 3 13 23 39 69 257 299 771 897 3341 5911 8677 10023 17733 26031 76843 112801 199571 230529 338403 598713 2229989 2594423 6689967 7783269 28989857 51289747 86969571 153869241 666766711 2000300133